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Tanya [424]
3 years ago
10

If a rectangle is rotated about the y-axis as shown below, what three-dimensional figure would be formed?

Mathematics
1 answer:
Xelga [282]3 years ago
5 0

Answer:

Cylinder.  The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.  

Step-by-step explanation:

This is assuming the rectangle has its sides parallel with the x and y axes.  

Let's try to eliminate them one by one.  A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight.  This can be used for the pyramid as well.  Let me know if this doesn't make sense though.

Now for me I would imagine that rectangle being a sheet of paper, or metal.  if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material?  It would be a circle.  So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder.  Again, let me know if this method did not make sense.  

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In na hour , a jogger burns about 4 calories pero pound of body weight. How Manu calories will a jogger who weighs 151 pounds in
Alex777 [14]

This is a rate*unit problem.


So, 4 calories per pound x 151 pounds

4\times151=604

He will burn 604 calories in one hour

6 0
3 years ago
Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseb
Irina18 [472]

Given 2.50x + 3.50y < 30.

Where x represent the number of hamburgers and y represent the number of cheeseburgers.

Now question is to find the maximum value of hamburgers Ben could have sold when he has sold 4 cheeseburgers.

So, first step is to plug in y=4 in the given inequality. So,

2.50x+3.50(4)<30

2.50x+14 <30

2.50x<30- 14 Subtracting 14 from each sides.

2.50x< 16

\frac{2.50x}{2.50} Dividing each sides by 2.50.

x<6.4

Now x being number of hamburgers must be an integer , so tha maximum value of x can be 6,

thus x = 6 hamburgers

So, the maximum value of hamburgers Ben could have sold is 6*2.5=$15

Hope this helps!!

8 0
3 years ago
A veterinarian wishes to compare the number of times race horses are reported to be lame during a 12‑month period, as compared w
cestrela7 [59]

Answer:

Step-by-step explanation:

Hello!

The objective of the veterinarian is to check if racing contributes to lameness in racing horses. To conduct a test the veterinarian should select at random two groups of horses, group one will be of racing horses and group two should be of not racing horses. Other than racing, all the other differences between the horses that may cause lame or resistance to lame should be controlled( confounding variables) such as age, breed, the number of weakly hours spent exercising, diet, obstacle-free environment, etc...

This type of study is an experimental design.

The experimental design is an analytic essay characterized by the fact that the investigator controls the study variable and the randomization of the samples. In which all the variables are controlled except the ones that you wish to study.

I hope it helps!

5 0
3 years ago
What does 25% of 80 equal
Anna007 [38]

Answer:

20

Step-by-step explanation:

25*4 equals 100  so 80/4 is 20.

4 0
3 years ago
Read 2 more answers
1.Which numbers are solutions of the inequality?
masya89 [10]

Answer:

D

Step-by-step explanation:

To be a solution, the number must be less than -8. This means it is located to the left of -8 on the number line.

Only -10 is to the left of -8 and less than it.

8 0
3 years ago
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